A family of multivariate multiquadric quasi-interpolation operators with higher degree polynomial reproduction

作者：

Highlights：

• A family of multivariate multiquadric quasi-interpolants is proposed.

• There is no demand for derivatives of approximated function in quasi-interpolants.

• The quasi-interpolants satisfy any degree polynomial reproduction property.

• The quasi-interpolants can reach up to a higher approximation order.

摘要

•A family of multivariate multiquadric quasi-interpolants is proposed.•There is no demand for derivatives of approximated function in quasi-interpolants.•The quasi-interpolants satisfy any degree polynomial reproduction property.•The quasi-interpolants can reach up to a higher approximation order.

论文关键词：Quasi-interpolation,Multiquadric functions,Dimension-splitting,Lagrange basis functions,Polynomial reproduction,Convergence rate

论文评审过程：Received 5 August 2013, Revised 24 June 2014, Available online 23 July 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.07.008